Absolute Value Functions and Translations

Question 1

Which phrases describe the graph of f(x) = |x| ? Check all that apply.V-shapedU-shapedopens upopens downsymmetric with respect to the x-axissymmetric with respect to the y-axis

Revolt · Accepted Answer

V-shaped; opens up; symmetric with respect to the y-axis

Question 2

Question 2

Revolt · Accepted Answer

{y | y is greater than or equal to zero}

Question 3

Question 3

Revolt · Accepted Answer

increasing

Question 4

Question 4

Revolt · Accepted Answer

decreasing

Question 5

Complete the statements for the graph of f(x) = |x|. The domain of the function is . The range of the function is . The graph is over the interval (0, ∞). The graph is over the interval (–∞, 0).

Revolt · Accepted Answer

{x |x is all real numbers}; Selection 1: {x |x is all real numbers}; Selection 2: {y | y is greater than or equal to zero}; Selection 3: increasing; Selection 4: decreasing

Question 6

The vertex of the graph of f(x) = |x – 3| + 6 is located at ( , ).

Revolt · Accepted Answer

Part 1: 3; Part 2: 6

Question 7

The graph shows f(x) = |x – h| + k. What is the value of h?

Revolt · Accepted Answer

h = 1.5

Question 8

Which function is represented by the graph?

Revolt · Accepted Answer

f(x) = |x – 1| – 3

Question 9

What are the domain and range of f(x) = |x – 3 | + 6?

Revolt · Accepted Answer

Domain: {x | x is all real numbers}Range: {y | y ≥ 6}

Question 10

The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph?

Revolt · Accepted Answer

( –1, 2)

Absolute Value Functions and Translations Answers

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